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Biderivations of the higher rank Witt algebra without anti-symmetric condition

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Abstract The Witt algebra ????d of rank d(≥ 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of ????d without anti-symmetric… Click to show full abstract

Abstract The Witt algebra ????d of rank d(≥ 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of ????d without anti-symmetric condition are determined. As an applications, commutative post-Lie algebra structures on ????d are obtained. Our conclusions recover and generalize results in the related papers on low rank or anti-symmetric cases.

Keywords: algebra; without anti; anti symmetric; witt algebra; symmetric condition; rank

Journal Title: Open Mathematics
Year Published: 2018

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